 కిసిలొర్తి మా఍సినింభిన్త్లవినానిని. మనిలార్మికషంనానా. ప్త్త్తిసంటుదాకి సివిచినిమితికయ. కియత్తిసంటినాద్. ప్త్తనినధవిన first matr gases so first we define what is a matrix defined matrix first we define matrix therefore���ipl drastic types of matrices matrix we see here matrices matrix are different matrix so we will discuss operation on matrices operation on matrices means here we will discuss addition, subtraction and multiplication , triangular matrix, matrix is one of the powerful tool of modern mathematics, Dae matrix was first Non-reminitivities are third calorie in 1858. .Matrix theory now occupies important position in subject, physics, economics, statistics, engineering, et cetera. Next we define a matrix. What is a matrix? The definition of a matrix. . The definition of a matrix. My matrix is a set of M by N, M into N numbers. may be real or complex arrangements in the form of a rectangular array having m rows and n columns is called a m into n matrix and it is to be read as m by n matrix. So, matrix is a set of m n numbers that number may be real or complex arrange in the form of rectangular array having m rows and n columns is called a m by n matrix it is not m into n it is read as m by n. So, general form of a matrix is general form of a matrix. So, general form we write this way here square bracket of a i j m into n it can be read in extended form is a 11 a 12. So, this is the general form of a matrix and it is expanded form and it is called compact form. So, in this matrix there are m rows these are called row. So, row 1 row 2 up to row m and these are called column. So, this column 1 column 2 column n. So, in this matrix there are m rows and n columns. So, a matrix to come in general form bullicom. So, at a matrix at the moment capital letter a denoted a matrix is denoted by capital letters a b c etcetera. So, this matrix is denoted by capital letter a b c. So, I am going to compact form a i j. So, in this form a i j is general element of matrix bullicom general element. So, a i j a element belongs to i i th row and z column. A matrix to amusory position to be zero a a element to position to over i th row and z row to intersecting point. So, in this matrix to expanded form of bullicom. So, a i z position to over i th row z to intersecting point to element a i j bullicom. So, types of matrices. So, what I am going to have is from row matrix. From row matrix over a matrix having only one row is called a row matrix. So, at a matrix also the at a matrix to come in row matrix bullicom. So, for example, so, I am at a udhan rishu. So, a matrix to at a row matrix. So, at a row at a say row one or column side at a say. So, a matrix to am in row matrix bullicom or a matrix to order to amelicom one into four. So, thar vishu tha i bo column matrix. A matrix having only one column is called a column matrix. So, column matrix for me at a udhan rishu. So, at a column matrix. So, at a column as say row side at a say. So, four into one. Thar vishu tha me define cream zero matrix or null matrix. So, the at a matrix or go table element a zero hai. A matrix to ame zero matrix bullicom. So, zero matrix to ame zero matrix is denoted by. So, capital O. So, capital O equal to. So, it has zero matrix. On your go table element zero. So, a matrix to order about three into two and three row and two columns. So, side number to ame square matrix. I mean define square matrix. At a matrix also the row or column or. So, at a matrix to ame square matrix bullicom. A matrix in which number of rows is equal to to the number of columns is called a square matrix. So, a square matrix write a example. So, a matrix to three into row or three into column as say. So, a matrix to ame square matrix bullicom. Thar vishu tha me discuss cream diagonal matrix diagonal matrix. So, diagonal matrix alasana kara aogot ame alasana kuru bo lebo what is diagonal elements. So, first ame diagonal elements are diagonal elements. Thar ho let a square matrix me alasana. So, a matrix or ame diagonal line any kind draw kuru a1 a2 a3. So, a line to thoka element log ame diagonal elements bullicom. Or a line to log ame principal diagonal bullicom. So, a matrix to a11 a22 a33 are called diagonal elements. So, a square matrix aij m into m is called a diagonal matrix. If aij equal to 0 whenever a nor equal to j. At a square matrix also the non diagonal elements bore 0 hoy. That is why a matrix to ame diagonal matrix ame bullicom. For example. So, a matrix to at a diagonal matrix karni at a non diagonal elements e bore element 0 hoy. So, a diagonal principal diagonal jibore element aij diagonal elements e bore non 0. So, a matrix to ame diagonal matrix bullicom. Thar vishu tha me alasana kuru ame scalar matrix. At a square matrix fingernaj square matrix cho gami scalar matrix bullicom that is diagonal hoka element bore principal diagonal hoka element bore as a k hoy. than a. So, a matrix that is scalar matrix karn a matrix of principal diagonal jibore element aij element bore a k hoy. So, next is 6 metrics now i define the ID on the quad if i want amount of properties if i load only one matrix i will look at its second requirement again i declared diamonds parGUAC ව ලපිතා දැයන දනලාතිම කිනෘමේ කර්තා තමලාවථුයීමීමෙතාණෙ ඖින්තාමුශින්තාපිවත්රයාදැනින්තාද්හිමගාවහැන්මාවහබාවගින්නානවකර්තාවාවහ by 3 or here a diagonal thoka element more aki hai 111. So, you can a matrix or may identity by unit matrix will come. So, I mean next matrix upon upper triangular matrix upper triangular matrix. Yet a matrix or may upper triangular matrix will come that here main diagonal or jipur thoka element 0 hai. So, a square matrix is said to be an upper triangular matrix. If reload so this helps brain signば this method is called main-diagon so this method is 0 in case of this,I make a triangular matrix In the given way,I define valley Changlin matrix so the a squared matrix is main diagonal and above is zero, so the matrix I call as the upper triangular matrix. so I call this matrix A, so this line is called as the main diagonal, so the two elements above are zero so I call this matrix bhoi lower triangular matrix. so, ame ite loi, nauta ame type palo, type of matrix so, egu technik ame, bhi minda pokar matrix iswan ame ate ame hoengya kishwan palo